Algebra Examples

$y = - 3 x$ $4 x + y = 2$

Step 1

Replace all occurrences of $y$ with $- 3 x$ in each equation.

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Step 1.1

Replace all occurrences of $y$ in $4 x + y = 2$ with $- 3 x$ .

$4 x - 3 x = 2$

$y = - 3 x$

Step 1.2

Simplify the left side.

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Step 1.2.1

Simplify $4 x - 3 x$ .

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Step 1.2.1.1

Remove parentheses.

$4 x - 3 x = 2$

$y = - 3 x$

Step 1.2.1.2

Subtract $3 x$ from $4 x$ .

$x = 2$

$y = - 3 x$

$x = 2$

$y = - 3 x$

$x = 2$

$y = - 3 x$

$x = 2$

$y = - 3 x$

Step 2

Replace all occurrences of $x$ with $2$ in each equation.

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Step 2.1

Replace all occurrences of $x$ in $y = - 3 x$ with $2$ .

$y = - 3 \cdot 2$

$x = 2$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $- 3$ by $2$ .

$y = - 6$

$x = 2$

$y = - 6$

$x = 2$

$y = - 6$

$x = 2$

Step 3

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(2, - 6)$

Step 4

The result can be shown in multiple forms.

Point Form:

$(2, - 6)$

Equation Form:

$x = 2, y = - 6$

Step 5